Abstract
We present a proof of the Riemannian Penrose inequality with charge in the context of asymptotically flat initial data sets for the Einstein-Maxwell equations, having possibly multiple black holes with no charged matter outside the horizon, and satisfying the relevant dominant energy condition. The proof is based on a generalization of Hubert Bray's conformal flow of metrics adapted to this setting.
Original language | English |
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Pages (from-to) | 451-498 |
Number of pages | 48 |
Journal | Journal of Differential Geometry |
Volume | 106 |
Issue number | 3 |
DOIs | |
State | Published - Jul 2017 |
All Science Journal Classification (ASJC) codes
- Analysis
- Algebra and Number Theory
- Geometry and Topology